Assosymmetric algebras under jordan product
Rings and Algebras
2016-01-26 v1
Abstract
We prove that assosymmetric algebras under Jordan product are Lie triple. A Lie triple algebra is called special if it is isomorphic to a subalgebra of some plus-assosymmetric algebra. We establish that Glennie identitiy is valid for special Lie triple algebras, but not for all Lie triple algebras.
Keywords
Cite
@article{arxiv.1601.06238,
title = {Assosymmetric algebras under jordan product},
author = {A. S. Dzhumadil'daev},
journal= {arXiv preprint arXiv:1601.06238},
year = {2016}
}
Comments
15 pages